Bohr and Rogosinski Abscissas for Ordinary Dirichlet Series

Autor:	Lev Aizenberg, Alekos Vidras, Victor Gotlib
Rok vydání:	2008
Předmět:	Pure mathematics Mathematics - Complex Variables Mathematics::Complex Variables 30B50 30A10 Applied Mathematics Mathematical analysis Abscissa Computer Science::Numerical Analysis Domain (mathematical analysis) Bohr model Mathematics::Group Theory symbols.namesake Computational Theory and Mathematics Mathematics - Classical Analysis and ODEs Bounded function Classical Analysis and ODEs (math.CA) FOS: Mathematics symbols Complex Variables (math.CV) Convex domain General Dirichlet series Analysis Dirichlet series Mathematics
Zdroj:	Computational Methods and Function Theory. 9:65-74
ISSN:	2195-3724 1617-9447
DOI:	10.1007/bf03321715
Popis:	We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\subset \mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these abscissas.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1c32422358ff9c4040ce6d457ca3dfc https://doi.org/10.1007/bf03321715 Zobrazit plný text záznamu Full text from SpringerLink